11/2 oz equals how many pounds

The graph below shows a proportional relationship between y and x .

Gennadij [26K]

Answer:

49/1

Step-by-step explanation:

The point is on (1,49)

6 0

3 years ago

Pablo wants to spend $100 on clothing and he wants to purchase 6 additional clothing pieces for his wardrobe. Each pair of pants

andrew11 [14]

Answer:

A. $x+y=6...(1)$

$20x+15y=100...(2)$

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

$x+y=6...(1)$

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.

As Pablo wants to spend $100 on clothing, so we can represent this information as:

$20x+15y=100...(2)$

Therefore, the system of equation representing the given situation will be:

$x+y=6...(1)$

$20x+15y=100...(2)$

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

$2+4=6$

$6=6$

$20*2+15*4=100$

$40+60=100$

$100=100$

We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

4 0

3 years ago

10. In a survey of 212 people at the local track and field championship, 72% favored the home team

igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error of the survey is:

$M = \sqrt{\frac{\pi(1-\pi)}{n}}$

The confidence interval can be written as:

$\pi \pm zM$

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that $n = 212, \pi = 0.72$

a. Find the margin of error for the survey.

$M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308$

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound:

$\pi - zM = 0.72 - 1.96*0.0308 = 0.6596$

Upper bound:

$\pi + zM = 0.72 + 1.96*0.0308 = 0.7804$

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0

3 years ago

Please help me I need this done not a lot of work but please get it done with good credit for good rating and reward!

goldenfox [79]

Answer:

1. Diameter

2. more than 1 but less than 2

3. ans: 3.14

4. ans: 3.142

5. 33.7 inches

6. a) 100.57 b) 2.36 (2 dp) c) 236.66 d) 113.14 e)20.11

f) 86.11

6 0

3 years ago

What is the reciprocal of each mixed number? Drag and drop the answer into the box to match each number.

Gnoma [55]

Hi there!!

First, we are going to find the improper fraction of each mixed number.

10 1/3 >>>>> 10*3+1=31 31/3

2 2/3 >>>>> 2*3+2=8. 8/3

5 1/3 >>>>>> 5*3+1 = 16. 16/3

TO find the reciprocal, we switch the numerator with the denominator.

31/3 changes to 3/31, 8/3 changes to 3/8, and finally 16/3 changes to 3/16.

Your answer is:

3/31
3/8
3/16

Hope this helps! Let me know if you have any questions:)

5 0

4 years ago